10. A polynomial containing three nonzero terms is called a __ binomial trinomial monomial none of these

Class 9 Polynomials Quiz -2

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Question 1 of 10

1. Question

A cubic polynomial is a polynomial with degree

3

2

4

1

Correct

A cubic polynomial is a polynomial of degree 3. A univariate cubic polynomial has the form f(x) = a3 x3 + a2 x2 + a1 x + a0. An equation involving a cubic polynomial is called a cubic equation. A closed-form solution known as the cubic formula exists for the solutions of an arbitrary cubic equation.

Incorrect

A cubic polynomial is a polynomial of degree 3. A univariate cubic polynomial has the form f(x) = a3 x3 + a2 x2 + a1 x + a0. An equation involving a cubic polynomial is called a cubic equation. A closed-form solution known as the cubic formula exists for the solutions of an arbitrary cubic equation.

Question 2 of 10

2. Question

A polynomial of degree 5 in x has at most

2 terms

6 terms

7 terms

5 terms

Correct

A polynomial of degree 5 is of the form where a, b, c, d, e, and f are real numbers and a ≠ 0.
Thus, p(x) can have at most 6 terms and at least one term containing. x5

Incorrect

A polynomial of degree 5 is of the form where a, b, c, d, e, and f are real numbers and a ≠ 0.
Thus, p(x) can have at most 6 terms and at least one term containing. x5

Question 3 of 10

3. Question

√2 is a polynomial of degree

√2

1

0

2

Correct

Incorrect

Question 4 of 10

4. Question

If a+b+c = 0, then a3+b3+c3 is equal to

1

abc

2abc

3abc

Correct

Incorrect

Question 5 of 10

5. Question

A polynomial containing two nonzero terms is called a ________

binomial

monomial

trinomial

none of these

Correct

A binomial is a mathematical expression with two terms.

Examples of binomials.

binomial

All of these examples are binomials. Study them for a bit, and see if you can spot a pattern. The following is a list of what binomials must have:

They must have two terms.

If the variables are the same, then the exponents must be different.

Exponents must be whole positive integers. They cannot be negatives or fractions.

A term is a combination of numbers and variables. In the example 3x + 5, our first term is 3x, and our second term is 5. Terms are separated by either addition or subtraction. In our first example, notice how the 3x and 5 are separated by addition. In the last example, we have a binomial whose two terms both have the same variable s. Notice how each term has its variable to a different exponent. The first term has an exponent of 5, and the second term has an exponent of 4. While we can have fractions for our numbers, we cannot have fractional exponents.

Here are some examples of expressions that are not binomials.

Incorrect

A binomial is a mathematical expression with two terms.

Examples of binomials.

binomial

All of these examples are binomials. Study them for a bit, and see if you can spot a pattern. The following is a list of what binomials must have:

They must have two terms.

If the variables are the same, then the exponents must be different.

Exponents must be whole positive integers. They cannot be negatives or fractions.

A term is a combination of numbers and variables. In the example 3x + 5, our first term is 3x, and our second term is 5. Terms are separated by either addition or subtraction. In our first example, notice how the 3x and 5 are separated by addition. In the last example, we have a binomial whose two terms both have the same variable s. Notice how each term has its variable to a different exponent. The first term has an exponent of 5, and the second term has an exponent of 4. While we can have fractions for our numbers, we cannot have fractional exponents.